Question: Please explain the answer and show the calculation: Intelligence Quotient (IQ) scores are normally distributed with a mean of 100 and a standard deviation of

Please explain the answer and show the calculation:

Intelligence Quotient (IQ) scores are normally distributed with a mean of 100 and a standard

deviation of 15.

Based on the properties of the normal distribution:

1) What proportion of people are expected to have IQ scores between 85 and 115?

2) What is the probability that any of us would have an IQ score of a super-genius, i.e., above 145?

3) 95% of the population will have IQ scores between ....... and ......

Reference:

http://people.umass.edu/biep540w/pdf/Introduction%20to%20the%20NormalDistribution%2029%20slides%20(University%20of%20Sussex).pdf

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

help please ASAP MY NOTES 19. [-/9 Points] DETAILS The college Physical Education Department offered an Advanced First Aid course last summer. The scores on the comprehensive final exam were normally...

Q:

a. All manufacturing devices and machines fail to work sooner or later. Suppose that the failure rate is constant and the time to failure (in hours) is an exponential r.v. X with parameter . i....

Q:

Scientists discovered a new group of proteins in an animal species. They found that the distribution of the number of amino acids these proteins were made of was approximately Normal with mean 530...

Q:

I have calculated everything but the probability. I am having trouble figuring out what they want the probability of and how to do the math in excel. I have tried the text book and I'm most likely...

Q:

1. The heights of adult men in America are normally distributed, with a mean of 69.4 inches and a standard deviation of 2.62 inches. The heights of adult women in America are also normally...

Q:

ACTIVITY 1: In a course on reasoning and decision-making, you heard about a phenomenon called anchoring and adjustment (Epley & Gilovich, 2006; Tversky & Kahneman, 1974). The phenomenon suggests that...

Q:

Scientists discovered a new group of proteins in an animal species. They found that the distribution of the number of amino acids these proteins were made of was approximately Normal with mean 530...

Q:

Heights of young adult U.S. women are approximately Normal with mean 64 inches and standard deviation 2.7 inches. What proportion of all U.S. young adult women are taller than 6 feet? The lifetime of...

Q:

Apparently these questions are missing something from the work, I can't seem to find it, I don't know what I am missing. I need help, please! Question 1 1 pts What is the probability that a z-score...

Q:

Questions 37 to 41 are based on the following information: It is known that 1Q scores are normally distributed with a standard deviation of & = 15. A random sample of n = 18 students is selected, and...

Q:

16 An epidemiologic study observes increased numbers of respiratory tract infections among children living in a communityin which most families are at the poverty level. The infectious agents include...

Q:

If a person could be modeled as a black body, at what wavelength would his or her surface emit the maximum energy? Assume that the normal human body temperature is about 37C.

Q:

Which of the following statements is true? The interest rate an a loan compensates the lender for opportunity cost, inflation and risk. MRP stands for "maturity risk premium" and it compensates the...

Q:

This study aim to develop environmental management model for Afghanistans organization . The model will have paramount significance as academic literature already concluded that there is a dire need...

Q:

Do not pay him, wait until I come

Q:

Do not get married, wait until I come, etc.

Q:

Do not come to the conclusion too quickly